Regular Article - Theoretical Physics
Scaled affine quantization of in the low temperature limit
Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, Grignano, 34151, Trieste, Italy
2 Department of Physics and Department of Mathematics, University of Florida, 32611-8440, Gainesville, FL, USA
Accepted: 14 September 2022
Published online: 28 September 2022
We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, , where r denotes the power of the interaction term and where s is the spatial dimension and 1 adds imaginary time, such that can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.